Derivation and comparison of SAR and frequency-wavenumber migration within a common inverse scalar wave problem formulation

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dc.contributor.authorGilmore, C
dc.contributor.authorJeffrey, I
dc.contributor.authorLoVetri, J
dc.date.accessioned2007-10-30T14:46:45Z
dc.date.available2007-10-30T14:46:45Z
dc.date.issued2006-06-30
dc.description.abstractTwo common Fourier imaging algorithms used in ground penetrating radar (GPR), synthetic aperture radar (SAR), and frequency-wavenumber (F-K) migration, are reviewed and compared from a theoretical perspective. The two algorithms, while arising from seemingly different physical models: a point-scatterer model for SAR and the exploding source model for F-K migration, result in similar imaging equations. Both algorithms are derived from an integral equation formulation of the inverse scalar wave problem, which allows a clear understanding of the approximations being made in each algorithm and allows a direct comparison. This derivation brings out the similarities of the two techniques which are hidden by the traditional formulations based on physical scattering models. The comparison shows that the approximations required to derive, each technique from the integral equation formulation of the inverse problem are nearly identical, and hence the two imaging algorithms and physical models are making similar assumptions about the solution to the inverse problem, thus clarifying why the imaging equations are so similar. Sample images of landmine-like targets buried in sand are obtained from experimental GPR data. using both algorithms.en
dc.format.extent670613 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citation0196-2892; IEEE TRANS GEOSCI REMOT SEN, JUN 2006, vol. 44, no. 6, p.1454 to 1461.en
dc.identifier.doihttp://dx.doi.org/10.1109/TGRS.2006.870402
dc.identifier.urihttp://hdl.handle.net/1993/2959
dc.language.isoengen_US
dc.rights©2006. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of the University of Manitoba's products or services. Internal or personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution must be obtained from the IEEE by writing to pubs-permissions@ieee.org. By choosing to view this document, you agree to all provisions of the copyright laws protecting it.en
dc.rightsrestricted accessen_US
dc.statusPeer revieweden
dc.subjectfrequency-wavenumber (F-K) migrationen
dc.subjectground penetrating radar (GPR)en
dc.subjectinverse wave problemen
dc.subjectsynthetic aperture radar (SAR)en
dc.titleDerivation and comparison of SAR and frequency-wavenumber migration within a common inverse scalar wave problem formulationen
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